1.

the time period of a pendulum is 2.0 s in a stationary inertial frame of reference. Its period measured by an observer moving at a speed of 0.6c with respect to the inertial frame of reference will be?

Answer»

# Answer- 2.5 s

# Explanation-

# Given-

Initial period Ti=2s

Speed of OBSERVER v=0.6c

# Solution-

Consider Tf be period MEASURED by observer

Tf=γTi

By Einsteins THEORY of relativity

γ=1/√[1-(v/c)^2]

γ=1/√[1-(0.6)^2]

γ=1/√(1-0.36)

γ=1/√0.64

γ=1/0.8

γ=1.25

Now,

Tf=γTi

Tf=1.25×2

Tf=2.5s

Period of pendulum measured by observer is 2.5s.


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